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DENIUS [597]
3 years ago
14

Mr. McDowell invested $14,000 in equipment to print yearbooks for Ardrey Kell High School. Each yearbook costs $7 to print and s

ells for $35. How many yearbooks must he sell before he breaks even?
Mathematics
1 answer:
Feliz [49]3 years ago
8 0
14000+7x=35x (x being the number of books) solve for x and you have your answer. 14000=35x-7x=28x therefore x=14000/28=500 so he needs to sell 500 books before he breaks even.
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Please answer :( Delano is baking cookies. He needs 2/3 cup of flour for each batch of cookies. If each batch represents 1/4 of
olya-2409 [2.1K]

Answer:

8/3 cups

Step-by-step explanation:

how many cups of flour does he need for all the cookies he wants to make can be represented by the variable x:

2/3=(1/4)*x

(1/4)*x=2/3

x=(2/3)/(1/4)

x=(2/3)*(4/1)

x=8/3

Thus, Delano needs 8/3 cups of flour to bake all his cookies

7 0
2 years ago
. How much of a 30% solution would you need to make 50 mL of a 2% solution?
Butoxors [25]

1.2mL will be needed to make 50 mL of a 2% solution

<h3>Ratio and proportions</h3>

Ratio are written in form of fractions.

If  50mL is required for a 2% solution, hence;

50% = 2mL

0.05 = 2mL

In order to determine the required mL for a 30% solution, we will have;

30% =x

0.03 = x

Find the ratios

0.5/0.3 = 2/x

Cross multiply

0.5x = 2(0.03)
0.5x = 0.6
x = 0.6/0.5

x = 1.2mL

Therefore 1.2mL will be needed to make 50 mL of a 2% solution

learn more on ratio and proportion here: brainly.com/question/12024093

#SPJ1

3 0
1 year ago
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! THIS IS NOT A TEST OR AN ASSESSMENT!! Please help me with these math questions
Art [367]

Answer:

See below

Step-by-step explanation:

3. What are two ways that a vector can be represented?

Considering a vector \vec{v} in some vector space \mathbb R^n we have

\vec{v} = \langle a,b\rangle

This is the component form. I don't like that way. It is probably used in high school, but

\vec{v} =  \begin{pmatrix} a\\ b\\ \end{pmatrix}

is preferable because the inner product on \mathbb R^n is defined to be

$\langle a,b\rangle := \sum_{i = 1}^n a_i b_i$

You can also write it using linear form such as \vec{v} = 2i+2j

4.

For this question, I think you meant

vectors

\vec{u_1} = (-8, 12)

\vec{u_2}  = (13, 15)

Once

\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}

Considering that the dot product is

\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76

and the norm of \vec{u_1} is ||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}

and the norm of \vec{u_2} is ||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}

Thus,

\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}

\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)

3 0
2 years ago
How are corresponding side lengths of two similar figures related
scoray [572]
Jxjxndddjdjdsjskdjjdjdhxjsejdjdjdjddj
3 0
3 years ago
2. Stephen Curry's record during the 2017 – 2018 NBA final game is made up of 2-point shots and 3-points.
stiks02 [169]

Answer:

He made 7 3-point shots.

Step-by-step explanation:

x+y=19

2x+3y=45

y=19-x

2x+3*(19-x)=45

2x+57-3x=45

-x=45-57

-x=-12

x=12

y=19-12

y =7

3 0
2 years ago
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